UID:
edocfu_9960073678602883
Format:
1 online resource (494 p.)
ISBN:
0-12-800583-1
Content:
Mathematical and Physical Fundamentals of Climate Change is the first book to provide an overview of the math and physics necessary for scientists to understand and apply atmospheric and oceanic models to climate research. The book begins with basic mathematics then leads on to specific applications in atmospheric and ocean dynamics, such as fluid dynamics, atmospheric dynamics, oceanic dynamics, and glaciers and sea level rise. Mathematical and Physical Fundamentals of Climate Change provides a solid foundation in math and physics with which to understand global warming, natural climate var
Note:
Description based upon print version of record.
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Front Cover; Mathematical and Physical Fundamentals of Climate Change; Copyright; Contents; Preface: Interdisciplinary Approaches to Climate Change Research; Chapter 1: Fourier Analysis; 1.1 Fourier Series and Fourier Transform; 1.2 Bessel's Inequality and Parseval's Identity; 1.3 Gibbs Phenomenon; 1.4 Poisson Summation Formulas and Shannon Sampling Theorem; 1.5 Discrete Fourier Transform; 1.6 Fast Fourier Transform; 1.7 Heisenberg Uncertainty Principle; 1.8 Case Study: Arctic Oscillation Indices; Problems; Bibliography; Chapter 2: Time-Frequency Analysis; 2.1 Windowed Fourier Transform
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2.2 Wavelet Transform2.3 Multiresolution Analyses and Wavelet Bases; 2.3.1 Multiresolution Analyses; 2.3.2 Discrete Wavelet Transform; 2.3.3 Biorthogonal Wavelets, Bivariate Wavelets,and Wavelet Packet; 2.4 Hilbert Transform, Analytical Signal, and Instantaneous Frequency; 2.5 Wigner-Ville Distribution and Cohen's Class; 2.6 Empirical Mode Decompositions; Problems; Bibliography; Chapter 3: Filter Design; 3.1 Continuous Linear Time-Invariant Systems; 3.2 Analog Filters; 3.3 Discrete Linear Time-Invariant Systems; 3.3.1 Discrete Signals; 3.3.2 Discrete Convolution; 3.3.3 Discrete System
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3.3.4 Ideal Digital Filters3.3.5 Z-Transforms; 3.3.6 Linear Difference Equations; 3.4 Linear-Phase Filters; 3.4.1 Four Types of Linear-Phase Filters; 3.4.2 Structure of Linear-Phase Filters; 3.5 Designs of FIR Filters; 3.5.1 Fourier Expansions; 3.5.2 Window Design Method; 3.5.3 Sampling in the Frequency Domain; 3.6 IIR Filters; 3.6.1 Impulse Invariance Method; 3.6.2 Matched Z-Transform Method; 3.6.3 Bilinear Transform Method; 3.7 Conjugate Mirror Filters; Problems; Bibliography; Chapter 4: Remote Sensing; 4.1 Solar and Thermal Radiation; 4.2 Spectral Regions and Optical Sensors
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4.3 Spatial Filtering4.4 Spatial Blurring; 4.5 Distortion Correction; 4.6 Image Fusion; 4.7 Supervised and Unsupervised Classification; 4.8 Remote Sensing of Atmospheric Carbon Dioxide; 4.9 Moderate Resolution Imaging Spectroradiometer Data Products and Climate Change; Problems; Bibliography; Chapter 5: Basic Probability and Statistics; 5.1 Probability Space, Random Variables, and Their Distributions; 5.1.1 Discrete Random Variables; 5.1.2 Continuous Random Variables; 5.1.3 Properties of Expectations and Variances; 5.1.4 Distributions of Functions of Random Variables
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5.1.5 Characteristic Functions5.2 Jointly Distributed Random Variables; 5.3 Central Limit Theorem and Law of Large Numbers; 5.4 Minimum Mean Square Error; 5.5 2-Distribution, t-Distribution, and F-Distribution; 5.6 Parameter Estimation; 5.7 Confidence Interval; 5.8 Tests of Statistical Hypotheses; 5.9 Analysis of Variance; 5.10 Linear Regression; 5.11 Mann-Kendall Trend Test; Problems; Bibliography; Chapter 6: Empirical Orthogonal Functions; 6.1 Random Vector Fields; 6.2 Classical EOFs; 6.3 Estimation of EOFs; 6.4 Rotation of EOFs; 6.5 Complex EOFs and Hilbert EOFs
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6.6 Singular Value Decomposition
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English
Additional Edition:
ISBN 1-322-47867-8
Additional Edition:
ISBN 0-12-800066-X
Language:
English
